Direct Bethe-Salpeter solutions in Minkowski space

Abstract : We review a method to directly solve the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the many singularities which appear in the kernel and propagators. The off-mass shell scattering amplitude for spinless particles interacting by a one boson exchange was computed for the first time. Using our Minkowski space solutions for the initial (bound) and final (scattering) states, we calculate elastic and transition (bound to scattering state) electromagnetic form factors. The conservation of the transition electromagnetic current J.q=0, verified numerically, confirms the validity of our solutions.
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Communication dans un congrès
21st International Conference on Few-Body Problems in Physics, May 2015, Chicago, United States. EPJ Web of Conferences, 113, pp.03012, 2016, 〈10.1051/epjconf/201611303012〉
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Contributeur : Sophie Heurteau <>
Soumis le : lundi 9 mai 2016 - 14:22:53
Dernière modification le : jeudi 11 janvier 2018 - 06:12:41

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J. Carbonell, V.A. Karmanov, C. Elster, D.R. Phillips, C.D. Roberts. Direct Bethe-Salpeter solutions in Minkowski space. 21st International Conference on Few-Body Problems in Physics, May 2015, Chicago, United States. EPJ Web of Conferences, 113, pp.03012, 2016, 〈10.1051/epjconf/201611303012〉. 〈in2p3-01313019〉

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